Place the chicken thighs in the bottom of the slow cooker.
In a small bowl, stir together the honey, soy sauce, sesame oil, garlic, and ginger until smooth.
Pour the sauce over the chicken and add the broccoli florets on top.
Cover and cook on low for 5 to 6 hours until the chicken is tender and easily shredded.
Shred the chicken with two forks right in the slow cooker and stir it into the sauce and broccoli.
Add the cooked rice and stir gently until everything is heated through and coated with sauce.
Sprinkle with sesame seeds and sliced green onions before serving.